%% dx = (0.03125,0.03125)
solution = [
0.99991 1.03165 1.06439 1.09818 1.13304 1.169 1.20611 1.2444 1.2839 1.32465 1.3667 1.41008 1.45484 1.50102 1.54867 1.59783 1.64855 1.70087 1.75486 1.81056 1.86803 1.92733 1.9885 2.05161 2.11673 2.18392 2.25323 2.32475 2.39854 2.47467 2.55322 2.63427 2.71789 
1.03165 1.06439 1.09818 1.13304 1.169 1.20611 1.24439 1.2839 1.32465 1.3667 1.41008 1.45484 1.50102 1.54867 1.59783 1.64854 1.70087 1.75486 1.81056 1.86804 1.92733 1.9885 2.05162 2.11674 2.18392 2.25324 2.32476 2.39855 2.47468 2.55323 2.63427 2.71789 2.80416 
1.06436 1.09815 1.133 1.16897 1.20607 1.24435 1.28385 1.32461 1.36665 1.41004 1.4548 1.50098 1.54862 1.59778 1.64849 1.70082 1.75481 1.81051 1.86798 1.92727 1.98845 2.05156 2.11668 2.18386 2.25318 2.32469 2.39848 2.47461 2.55315 2.63419 2.7178 2.80407 2.89308 
1.09804 1.1329 1.16886 1.20596 1.24424 1.28373 1.32448 1.36653 1.40991 1.45466 1.50084 1.54848 1.59763 1.64834 1.70067 1.75465 1.81034 1.86781 1.9271 1.98827 2.05138 2.11649 2.18367 2.25298 2.32449 2.39827 2.47439 2.55292 2.63395 2.71756 2.80382 2.89282 2.98464 
1.13269 1.16864 1.20574 1.24401 1.2835 1.32424 1.36627 1.40965 1.45439 1.50056 1.54819 1.59734 1.64805 1.70036 1.75433 1.81001 1.86746 1.92674 1.98791 2.05101 2.11612 2.18328 2.25258 2.32407 2.39784 2.47394 2.55246 2.63348 2.71707 2.80331 2.89229 2.98409 3.07881 
1.16829 1.20537 1.24363 1.2831 1.32383 1.36586 1.40921 1.45395 1.5001 1.54772 1.59685 1.64754 1.69984 1.7538 1.80946 1.86689 1.92615 1.9873 2.05039 2.11548 2.18263 2.25191 2.32338 2.39712 2.4732 2.55169 2.63268 2.71624 2.80246 2.89141 2.98319 3.07788 3.17557 
1.20482 1.24306 1.28252 1.32323 1.36523 1.40857 1.45328 1.49941 1.54701 1.59612 1.64679 1.69907 1.75301 1.80866 1.86604 1.92527 1.98638 2.04943 2.1145 2.18166 2.2509 2.32234 2.39604 2.47208 2.55054 2.63149 2.71501 2.80118 2.89009 2.98183 3.07647 3.17412 3.27488 
1.24227 1.2817 1.32238 1.36435 1.40766 1.45235 1.49845 1.54602 1.59509 1.64573 1.69798 1.75189 1.8075 0 0 0 0 0 0 0 2.32088 2.39454 2.47052 2.54893 2.62982 2.71329 2.79941 2.88826 2.97993 3.07451 3.1721 3.27278 3.37667 
1.28061 1.32125 1.36319 1.40646 1.45111 1.49717 1.5447 1.59373 1.64432 1.69652 1.75038 0 0 0 0 0 0 0 0 0 0 0 2.54678 2.6276 2.711 2.79704 2.88581 2.9774 3.0719 3.1694 3.27 3.3738 3.48089 
1.31981 1.3617 1.40493 1.44952 1.49553 1.543 1.59198 1.64252 1.69466 1.74845 0 0 0 0 0 0 0 0 0 0 0 0 0 2.70805 2.794 2.88268 2.97416 3.06856 3.16595 3.26644 3.37011 3.47708 3.58745 
1.35985 1.40301 1.44754 1.49349 1.5409 1.58981 1.64028 1.69235 1.74608 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.87878 2.97013 3.06439 3.16165 3.26199 3.36552 3.47235 3.58256 3.69628 
1.40068 1.44514 1.49101 1.53833 1.58716 1.63754 1.68952 1.74316 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.05932 3.15641 3.25658 3.35993 3.46658 3.57661 3.69013 3.80726 
1.44226 1.48804 1.53527 1.584 1.63427 1.68615 1.73967 1.79489 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.15012 3.2501 3.35325 3.45968 3.56949 3.68279 3.79968 3.92029 
1.48455 1.53167 1.58028 1.63044 1.68218 1.73558 1.79068 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.3454 3.45156 3.5611 3.67414 3.79076 3.91109 4.03523 
1.52749 1.57597 1.62598 1.67759 1.73083 1.78575 1.84242 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.44207 3.55135 3.66408 3.7804 3.9004 4.0242 4.15194 
1.57102 1.62088 1.67232 1.72539 1.78014 1.83663 1.89489 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.54012 3.65253 3.76849 3.88812 4.01155 4.13888 4.27026 
1.61508 1.66634 1.71923 1.77378 1.83007 1.88813 1.94803 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.63938 3.75495 3.87417 3.99716 4.12405 4.25496 4.39002 
1.65961 1.71228 1.76662 1.82268 1.88052 1.94018 2.00172 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.73969 3.85846 3.98097 4.10735 4.23773 4.37224 4.51103 
1.70452 1.75862 1.81443 1.87201 1.93142 1.9927 2.05591 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.84092 3.96289 4.0887 4.21849 4.35239 4.49055 4.63308 
1.74974 1.80527 1.86257 1.92168 1.98266 2.04559 2.11053 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.94294 4.06805 4.19716 4.33039 4.46784 4.60965 4.75597 
1.79518 1.85215 1.91094 1.97158 2.03415 2.09871 2.16531 2.23399 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.92076 4.04527 4.17367 4.30615 4.44282 4.58384 4.72934 4.87945 
1.84075 1.89917 1.95944 2.02163 2.08579 2.15199 2.22029 2.29076 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.02036 4.14795 4.2796 4.41543 4.55558 4.70017 4.84935 5.00327 
1.88635 1.94622 2.00798 2.07171 2.13746 2.2053 2.2753 2.34752 2.42204 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.99325 4.11995 4.2507 4.3856 4.5248 4.66841 4.81658 4.96946 5.12719 
1.93188 1.99319 2.05645 2.12172 2.18906 2.25853 2.33022 2.40418 2.4805 2.55923 0 0 0 0 0 0 0 0 0 0 0 0 0 3.9638 4.08959 4.21937 4.35328 4.49144 4.63399 4.78107 4.93281 5.08938 5.25091 
1.97724 2.03999 2.10474 2.17153 2.24045 2.31156 2.38493 2.46063 2.53873 2.61931 2.70244 0 0 0 0 0 0 0 0 0 0 0 3.93202 4.05682 4.18557 4.31841 4.45547 4.59687 4.74277 4.8933 5.0486 5.20884 5.37417 
2.02232 2.0865 2.15272 2.22104 2.29153 2.36426 2.4393 2.51672 2.5966 2.67902 2.76405 2.85177 2.94228 0 0 0 0 0 0 0 3.77796 3.89789 4.02162 4.14927 4.28096 4.41683 4.55701 4.70164 4.85087 5.00483 5.16367 5.32756 5.49666 
2.067 2.1326 2.20028 2.27011 2.34216 2.41649 2.49319 2.57232 2.65396 2.7382 2.82511 2.91478 3.00729 3.10274 3.20124 3.30286 3.40771 3.51588 3.62748 3.74261 3.86141 3.98398 4.11044 4.24091 4.37552 4.51439 4.65767 4.8055 4.95802 5.11538 5.27774 5.44524 5.61807 
2.11117 2.17817 2.2473 2.31862 2.3922 2.46813 2.54646 2.62728 2.71067 2.79671 2.88548 2.97706 3.07155 3.16905 3.26964 3.37343 3.48051 3.59099 3.70498 3.82258 3.94391 4.0691 4.19826 4.33151 4.46899 4.61084 4.75718 4.90817 5.06395 5.22467 5.39049 5.56158 5.7381 
2.15471 2.22309 2.29364 2.36643 2.44154 2.51903 2.59898 2.68147 2.76657 2.85438 2.94498 3.03846 3.1349 3.2344 3.33707 3.443 3.55228 3.66504 3.78138 3.9014 4.02524 4.153 4.28482 4.42083 4.56114 4.70591 4.85527 5.00937 5.16837 5.3324 5.50165 5.67626 5.85642 
2.1975 2.26723 2.33919 2.41342 2.49002 2.56905 2.65058 2.73471 2.82151 2.91106 3.00346 3.09879 3.19715 3.29863 3.40333 3.51136 3.62282 3.73781 3.85646 3.97887 4.10516 4.23546 4.3699 4.5086 4.6517 4.79935 4.95168 5.10884 5.27099 5.43828 5.61088 5.78896 5.97269 
2.23941 2.31048 2.3838 2.45945 2.53751 2.61805 2.70114 2.78687 2.87532 2.96658 3.06074 3.15789 3.25813 3.36154 3.46824 3.57833 3.69191 3.8091 3.93001 4.05475 4.18345 4.31624 4.45324 4.59459 4.74042 4.89088 5.04611 5.20627 5.37151 5.542 5.71789 5.89937 6.0866 
2.28033 2.35269 2.42735 2.50439 2.58387 2.66588 2.75049 2.83779 2.92786 3.02078 3.11666 3.21559 3.31765 3.42296 3.53161 3.64371 3.75937 3.87869 4.00181 4.12883 4.25989 4.3951 4.5346 4.67853 4.82703 4.98024 5.13831 5.30139 5.46965 5.64325 5.82236 6.00715 6.19781 
2.32012 2.39375 2.46971 2.54809 2.62896 2.7124 2.79849 2.88731 2.97895 3.0735 3.17105 3.2717 3.37555 3.48269 3.59324 3.70729 3.82497 3.94638 4.07164 4.20088 4.33422 4.4718 4.61373 4.76017 4.91126 5.06715 5.22797 5.39391 5.5651 5.74173 5.92397 6.11198 6.30596 
];
exact = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28402 1.32478 1.36683 1.41022 1.45498 1.50117 1.54882 1.59799 1.64871 1.70105 1.75505 1.81076 1.86824 1.92754 1.98873 2.05186 2.11699 2.18419 2.25352 2.32506 2.39886 2.47501 2.55358 2.63464 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16907 1.20618 1.24447 1.28397 1.32473 1.36678 1.41017 1.45493 1.50112 1.54877 1.59793 1.64865 1.70099 1.75498 1.81069 1.86817 1.92747 1.98866 2.05178 2.11691 2.18411 2.25344 2.32498 2.39878 2.47492 2.55349 2.63454 2.71817 2.80446 2.89348 
1.09813 1.13299 1.16896 1.20606 1.24435 1.28385 1.3246 1.36665 1.41003 1.45479 1.50097 1.54862 1.59778 1.64849 1.70082 1.75481 1.81052 1.86799 1.92729 1.98846 2.05159 2.11671 2.1839 2.25323 2.32475 2.39855 2.47468 2.55324 2.63429 2.71791 2.80418 2.8932 2.98504 
1.13278 1.16874 1.20584 1.24412 1.28361 1.32435 1.36639 1.40977 1.45452 1.50069 1.54833 1.59748 1.64819 1.7005 1.75448 1.81018 1.86764 1.92692 1.98809 2.0512 2.11631 2.18349 2.2528 2.32431 2.3981 2.47422 2.55276 2.63379 2.7174 2.80366 2.89265 2.98448 3.07922 
1.16838 1.20546 1.24373 1.28321 1.32394 1.36597 1.40933 1.45407 1.50022 1.54785 1.59698 1.64767 1.69998 1.75394 1.80962 1.86706 1.92633 1.98748 2.05056 2.11566 2.18281 2.2521 2.32359 2.39735 2.47345 2.55197 2.63298 2.71656 2.80279 2.89176 2.98355 3.07826 3.17598 
1.20491 1.24316 1.28262 1.32333 1.36534 1.40868 1.4534 1.49953 1.54713 1.59624 1.64691 1.69919 1.75313 1.80878 1.8662 1.92544 1.98656 2.04962 2.11468 2.18181 2.25106 2.32252 2.39625 2.47231 2.55079 2.63176 2.7153 2.8015 2.89042 2.98218 3.07684 3.17451 3.27528 
1.24236 1.28179 1.32248 1.36446 1.40777 1.45246 1.49857 1.54614 1.59522 1.64585 1.6981 1.752 1.80762 0 0 0 0 0 0 0 2.32103 2.3947 2.47072 2.54915 2.63007 2.71355 2.79969 2.88856 2.98026 3.07486 3.17247 3.27317 3.37707 
1.2807 1.32135 1.36329 1.40657 1.45122 1.49729 1.54481 1.59385 1.64445 1.69665 1.7505 0 0 0 0 0 0 0 0 0 0 0 2.54697 2.62782 2.71123 2.7973 2.88609 2.97771 3.07223 3.16975 3.27037 3.37419 3.48129 
1.3199 1.3618 1.40503 1.44963 1.49564 1.54312 1.5921 1.64264 1.69479 1.74858 0 0 0 0 0 0 0 0 0 0 0 0 0 2.70826 2.79423 2.88293 2.97444 3.06886 3.16628 3.26679 3.37049 3.47748 3.58786 
1.35994 1.40311 1.44765 1.4936 1.54101 1.58993 1.6404 1.69247 1.74619 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.87899 2.97038 3.06467 3.16195 3.26232 3.36588 3.47272 3.58296 3.69669 
1.40077 1.44523 1.49111 1.53844 1.58728 1.63766 1.68965 1.74328 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.05956 3.15668 3.25688 3.36027 3.46693 3.57698 3.69053 3.80768 
1.44235 1.48813 1.53537 1.58411 1.63439 1.68628 1.7398 1.79503 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.15038 3.25038 3.35356 3.46001 3.56985 3.68317 3.80008 3.92071 
1.48463 1.53176 1.58038 1.63055 1.68231 1.73571 1.79081 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.34567 3.45187 3.56145 3.6745 3.79114 3.91149 4.03565 
1.52757 1.57606 1.62609 1.6777 1.73096 1.78591 1.8426 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.44243 3.5517 3.66444 3.78076 3.90078 4.0246 4.15236 
1.57109 1.62096 1.67242 1.72551 1.78028 1.83679 1.8951 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.54051 3.6529 3.76886 3.88849 4.01193 4.13928 4.27067 
1.61515 1.66642 1.71931 1.77389 1.8302 1.8883 1.94824 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.63979 3.75533 3.87453 3.99753 4.12442 4.25534 4.39042 
1.65966 1.71234 1.7667 1.82278 1.88064 1.94034 2.00193 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.7401 3.85882 3.98131 4.10769 4.23808 4.37262 4.51142 
1.70455 1.75866 1.81449 1.87208 1.93151 1.99282 2.05608 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.84127 3.9632 4.08901 4.21881 4.35273 4.4909 4.63345 
1.74975 1.80529 1.8626 1.92172 1.98273 2.04567 2.1106 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.94312 4.06829 4.19743 4.33067 4.46814 4.60998 4.75631 
1.79517 1.85215 1.91094 1.9716 2.03419 2.09876 2.16538 2.23412 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.921 4.04547 4.17389 4.30638 4.44308 4.58412 4.72963 4.87977 
1.84071 1.89914 1.95942 2.02162 2.08579 2.15201 2.22032 2.2908 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.02048 4.1481 4.27977 4.41563 4.5558 4.70041 4.84962 5.00356 
1.88628 1.94616 2.00794 2.07167 2.13744 2.20529 2.27529 2.34751 2.42203 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.99326 4.12002 4.2508 4.38573 4.52495 4.66859 4.81679 4.96969 5.12744 
1.93178 1.99311 2.05637 2.12165 2.189 2.25849 2.33018 2.40415 2.48046 2.5592 0 0 0 0 0 0 0 0 0 0 0 0 0 3.96377 4.08959 4.21941 4.35334 4.49153 4.63411 4.78121 4.93299 5.08958 5.25114 
1.97712 2.03988 2.10463 2.17144 2.24036 2.31148 2.38486 2.46056 2.53867 2.61925 2.7024 0 0 0 0 0 0 0 0 0 0 0 3.93196 4.05678 4.18555 4.31842 4.4555 4.59693 4.74285 4.89341 5.04874 5.209 5.37436 
2.02216 2.08635 2.15258 2.22091 2.29141 2.36415 2.43919 2.51662 2.59651 2.67893 2.76397 2.85171 2.94223 0 0 0 0 0 0 0 3.7779 3.89782 4.02155 4.14921 4.28092 4.41681 4.55701 4.70167 4.85092 5.0049 5.16377 5.32769 5.49681 
2.06681 2.13242 2.20011 2.26995 2.34201 2.41635 2.49305 2.57219 2.65384 2.73808 2.825 2.91468 3.0072 3.10266 3.20115 3.30276 3.4076 3.51577 3.62737 3.74252 3.86132 3.98389 4.11035 4.24083 4.37545 4.51434 4.65764 4.80549 4.95803 5.11542 5.2778 5.44533 5.61818 
2.11096 2.17796 2.2471 2.31843 2.39203 2.46796 2.5463 2.62713 2.71052 2.79656 2.88533 2.97692 3.07142 3.16892 3.26951 3.3733 3.48038 3.59086 3.70484 3.82245 3.94378 4.06897 4.19814 4.3314 4.46889 4.61075 4.75711 4.90812 5.06392 5.22467 5.39051 5.56163 5.73817 
2.15447 2.22286 2.29342 2.36622 2.44133 2.51883 2.59878 2.68128 2.76639 2.85421 2.94481 3.03829 3.13473 3.23424 3.3369 3.44283 3.55212 3.66487 3.78121 3.90124 4.02507 4.15284 4.28467 4.42068 4.56101 4.70579 4.85517 5.00929 5.1683 5.33236 5.50162 5.67627 5.85645 
2.19723 2.26698 2.33894 2.41318 2.48979 2.56882 2.65036 2.73449 2.8213 2.91085 3.00325 3.09859 3.19695 3.29843 3.40313 3.51116 3.62262 3.73761 3.85626 3.97867 4.10496 4.23527 4.36971 4.50842 4.65153 4.79919 4.95153 5.10871 5.27088 5.43819 5.61082 5.78893 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53725 2.61779 2.70089 2.78662 2.87508 2.96635 3.06051 3.15766 3.25789 3.36131 3.46801 3.5781 3.69168 3.80886 3.92977 4.05452 4.18322 4.31601 4.45301 4.59437 4.74021 4.89068 5.04593 5.2061 5.37136 5.54187 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42705 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21533 3.31739 3.4227 3.53134 3.64344 3.7591 3.87842 4.00154 4.12856 4.25961 4.39483 4.53434 4.67827 4.82677 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
err = [
-9.04016e-05 -9.55362e-05 -0.000100602 -0.000105529 -0.000110291 -0.000114883 -0.000119332 -0.000123688 -0.000128037 -0.000132497 -0.00013722 -0.000142371 -0.000148089 -0.000154433 -0.000161342 -0.000168657 -0.000176256 -0.000184165 -0.000192592 -0.000201881 -0.000212377 -0.000224262 -0.000237527 -0.00025201 -0.000267469 -0.000283637 -0.000300251 -0.000317064 -0.000333847 -0.00035039 -0.000366487 -0.00038193 -0.000396453 
-9.02721e-05 -9.54866e-05 -0.000100584 -0.000105523 -0.000110282 -0.00011486 -0.00011928 -0.000123591 -0.000127876 -0.000132257 -0.000136894 -0.000141972 -0.000147657 -0.000154028 -0.000161012 -0.000168385 -0.000175967 -0.000183768 -0.000192018 -0.00020113 -0.000211529 -0.000223416 -0.000236756 -0.000251354 -0.000266942 -0.000283236 -0.000299968 -0.000316889 -0.000333773 -0.00035041 -0.000366607 -0.000382175 -0.000396928 
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